Estimating A Polynomial Regression With Measurement Errors In The Structural And In The Functional Case - A Comparison

Schneeweiß, Hans und Nittner, T. (2000): Estimating A Polynomial Regression With Measurement Errors In The Structural And In The Functional Case - A Comparison. Sonderforschungsbereich 386, Discussion Paper 197

Abstract

Two methods of estimating the parameters of a polynomial regression with measurement errors in the regressor variable are compared to each other with respect to their relative efficiency and robustness. One of the two estimators (SLS) is valid for the structural variant of the model and uses the assumption that the true regressor variable is normally distributed, while the other one (ALS and also its small sample modification MALS) does not need any assumption on the regressor distribution. SLS turns out to react rather strongly on violations of the normality assumption as far as its bias is concerned but is quite robust with respect to its MSE. It is more efficient than ALS or MALS whenever the normality assumption holds true.

• Dokumententyp: Paper
• Fakultät: Mathematik, Informatik und Statistik > Statistik > Sonderforschungsbereich 386 ; Sonderforschungsbereiche > Sonderforschungsbereich 386
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• Sprache: Englisch